This study presents a new approach for designing optimal sensors layout based on accuracy of defect mapping. It is obtained from combination of the reference‐free damage detection technique and the probability‐based diagnostic imaging method. Considering damage indices based on continuous wavelet transform of sensors signals, the core of this study involves with development of a database of continuous wavelet transform features of a crack. In fact, the database contains the data from 594 different states in crack positions, orientations, and the considered sensing path lengths. Eventually, this database is used for localization of damage by interpolating the stored data collected from the above mentioned 594 states of the crack. The verification tests of defect mapping interpolating the stored data show an excellent match with the finite element method crack positioning performed for three different crack conditions. To generalize the results, here, 134 sensor layouts are considered in each of which 121 crack positions are detected by the help of probability‐based diagnostic imaging method. Then to check upon the accuracy of the results, the distance between the real center of the crack and the detected crack position by the interpolation of the stored data is calculated. Finally, the optimal sensor layouts single out from among the 134 ones based on user‐defined accuracy in localizing damage on an arbitrary monitoring area and the number of sensors.

中文翻译：

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基于无参​​考损伤定位和兰姆波传播的最佳传感器布局设计

这项研究提出了一种基于缺陷映射精度设计最佳传感器布局的新方法。它是通过结合无参考损伤检测技术和基于概率的诊断成像方法获得的。考虑到基于传感器信号的连续小波变换的损伤指数，本研究的核心涉及裂缝连续小波变换特征数据库的开发。实际上，数据库包含来自594个不同状态的数据，包括裂纹位置，方向和所考虑的传感路径长度。最终，通过对从上述594个裂缝状态收集的存储数据进行插值，将该数据库用于损坏的定位。缺陷映射图对存储数据进行插值的验证测试表明，与针对三种不同裂纹条件进行的有限元方法裂纹定位非常匹配。为了概括结果，此处考虑了134个传感器布局，其中每个借助基于概率的诊断成像方法检测到121个裂纹位置。然后，为了检查结果的准确性，通过存储数据的插值计算出裂纹的真实中心与检测到的裂纹位置之间的距离。最后，根据用户定义的精度在134个传感器中确定最佳的传感器布局，以将损坏的位置定位在任意监视区域和传感器的数量上。借助基于概率的诊断成像方法，考虑了134个传感器布局，每个布局中检测到121个裂纹位置。然后，为了检查结果的准确性，通过存储数据的插值计算出裂纹的真实中心与检测到的裂纹位置之间的距离。最后，根据用户定义的精度在134个传感器中确定最佳的传感器布局，以在任意监视区域和传感器数量上定位损坏。借助基于概率的诊断成像方法，考虑了134个传感器布局，每个布局中检测到121个裂纹位置。然后，为了检查结果的准确性，通过存储数据的插值计算出裂纹的真实中心与检测到的裂纹位置之间的距离。最后，根据用户定义的精度在134个传感器中确定最佳的传感器布局，以在任意监视区域和传感器数量上定位损坏。